Answer:
(3.5 ; 1.5) and (1; -1)
Step-by-step explanation:
y=2x²−8x+5
y=x−2
x - 2 = 2x²−8x+5
2x² - 9x + 7 = 0
(2x - 7)(x - 1) = 0
x1 = 7/2, and x2 = 1
y = x-2
x1 = 7/2= 3.5 , y1 = 7/2 - 2 = 1.5, (3.5 ; 1.5)
x2 = 1, y2 = 1 - 2 = -1 (1 ; - 1)
Check:
1) y=2x²−8x+5, (3.5 ; 1.5)
1.5 = 2*3.5² - 8*3.5 +5
1.5≡1.5
2) y=2x²−8x+5, (1; -1)
-1 =2*1 - 8*1 + 5
- 1 ≡ -1
